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1. Assume that an observer calculates electric field and potential by measuring the force on a test charge. This observer moves along the path described by the green arrow. Finally, assume the system is in vacuum. (a) Plot and justify E,V for a line charge of density Pip arranged in a ring shape. The path goes through the center of the ring and is perpendicular to the ring area. Let us assume V = 0 is defined infinitely far away at z - o. P1D Wire ring Observer path E V (b) Suppose the observer is far enough away that z » ro. Discuss whether it is appropriate to express E,V as if the ring charge were a point charge.

1. Assume that an observer calculates electric field and potential by measuring the force on a test charge. This observer moves along the path described by the green arrow. Finally, assume the system is in vacuum. (a) Plot and justify E,V for a line charge of density Pip arranged in a ring shape. The path goes through the center of the ring and is perpendicular to the ring area. Let us assume V = 0 is defined infinitely far away at z - o. P1D Wire ring Observer path E V (b) Suppose the observer is far enough away that z » ro. Discuss whether it is appropriate to express E,V as if the ring charge were a point charge.

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1. Assume that an observer calculates electric field and potential by measuring the force on a test charge. This observer moves along the path described by the green arrow. Finally, assume the system is in vacuum. (a) Plot and justify E,V for a line charge of density pip arranged in a ring shape. The path goes through the center of the ring and is perpendicular to the ring area. Let us assume V = 0 is defined infinitely far away at z → 00. P1D Wire ring Observer path E V (b) Suppose the observer is far enough away that z » ro. Discuss whether it is appropriate to express E,V as if the ring charge were a point charge.
Transcribed Image Text:1. Assume that an observer calculates electric field and potential by measuring the force on a test charge. This observer moves along the path described by the green arrow. Finally, assume the system is in vacuum. (a) Plot and justify E,V for a line charge of density pip arranged in a ring shape. The path goes through the center of the ring and is perpendicular to the ring area. Let us assume V = 0 is defined infinitely far away at z → 00. P1D Wire ring Observer path E V (b) Suppose the observer is far enough away that z » ro. Discuss whether it is appropriate to express E,V as if the ring charge were a point charge.
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